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- W2726885598 abstract "Recently a certain $q$-Painlev'e type system has been obtained from a reduction of the $q$-Garnier system. In this paper it is shown that the $q$-Painlev'e type system is associated with another realization of the affine Weyl group symmetry of type $E_7^{(1)}$ and is different from the well-known $q$-Painlev'e system of type $E_7^{(1)}$ from the point of view of evolution directions. We also study a connection between the $q$-Painlev'e type system and the $q$-Painlev'e system of type $E_7^{(1)}$. Furthermore determinant formulas of particular solutions for the $q$-Painlev'e type system are constructed in terms of the terminating $q$-hypergeometric function." @default.
- W2726885598 created "2017-07-14" @default.
- W2726885598 creator A5090723565 @default.
- W2726885598 date "2017-12-10" @default.
- W2726885598 modified "2023-10-14" @default.
- W2726885598 title "A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E7(1)" @default.
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- W2726885598 doi "https://doi.org/10.3842/sigma.2017.092" @default.
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